Answer:
b = 90
c = 80
d = 100
Step-by-step explanation:
In the given parallelogram:
- Angle (b - 10)° is opposite angle c°.
- Angle (b + 10)° is opposite angle d°.
This implies that angles (b - 10)° and (b + 10)° are adjacent or consecutive.
Adjacent angles in a parallelogram add up to 180°. Therefore, to determine the value of b, set the sum of the two angles equal to 180° and solve for b:
(b - 10)° + (b + 10)° = 180°
b - 10 + b + 10 = 180
2b = 180
b = 90
Opposite angles in a parallelogram are congruent. Therefore:
c° = (b - 10)°
d° = (b + 10)°
To determine the values of c and d, simply substitute the value of b:
c° = (90 - 10)° = 80°
d° = (90 + 10)° = 100°
Therefore:
